Answers
You can use the Pythagorean Theorem
[tex]a^{2} + b^{2} = c^{2} [/tex]
c is the hypotenuse which is the side across the right angle
a and b are the other sides
Put in the values you know
[tex] a^{2} + 5^{2} = 12^{2} [/tex]
Square the numbers
[tex]a^{2} + 25 = 144[/tex]
Subtract 25 from both sides
[tex] a^{2} = 119[/tex]
Take the square root of both sides
a = 10.9
The answer is D) 10.9 centimeters
Hope this helps!
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Hello!
You can use the Pythagorean Theorem
c is the hypotenuse which is the side across the right angle
a and b are the other sides
Put in the values you know
Square the numbers
Subtract 25 from both sides
Take the square root of both sides
a = 10.9
The answer is D) 10.9 centimeters
Hope this helps!
Related Questions
two negative integers have a sum of -18 and a product of 80. what are the integers?
Answers
-8*-10=80
Please rate brainliest if this helped you.
The most reasonable answer would -8 and -10.
-8 * -10 = 80
-8 + -10 = 18
Hope I helped!
What is the inverse of the function f(x)= 19/x^3 ?
Answers
Answer: [tex]f^{-1}(x)=\sqrt[3]{\dfrac{19}{x}}[/tex]
The chord AB is a diameter of O. True or false.
Answers
Answer:
False.
Step-by-step explanation:
We have been given a graph and a statement. We are asked to determine whether the given statement is true or false.
Statement: The chord AB is a diameter of O.
We know that diameter of a circle is a chord that passes through the center of the circle.
Upon looking at our given graph, we can see that chord AB doesn't pass through the center at point 'o', therefore, AB is not a diameter of circle O.
Therefore, the given statement is false.
Answer: False
Step-by-step explanation:
I just got it right on the quiz
Peaches varied directly as apples. when there were 40 peaches, there were 120 apples. how many apples went with 500 peaches?
Answers
let the number of peaches be p and that of apples be a
hence
p=ka
where
k is constant of proportionality given by:
k=p/a
when:
p=40, a=120
thus
k=40/120=1/3
thus the equation will be:
p=1/3a
thus the number of apples where there are 500 peaches will be:
500=1/3a
multiplying both sides by 3 we get:
500×3=1/3a×3
a=1500
{3, 4, 7} list all the subsets.
Answers
Subsets that have 3 items: {3, 4, 7} which is the original set. Any set is a subset of itself.
---------------------------------------------------------------------------------------
Subsets that have 2 items
{3, 4}, {3, 7}, {4, 7}
---------------------------------------------------------------------------------------
Subsets that have 1 item
{3}, {4}, {7}
---------------------------------------------------------------------------------------
Subsets that have 0 items: the empty set which we write { } or using the symbol [tex]\varnothing[/tex]
---------------------------------------------------------------------------------------
So all together we have 8 subsets
{3, 4, 7}
{3, 4}, {3, 7}, {4, 7}
{3}, {4}, {7}
{ }
Side Note: There are n = 3 items in the original set so there are 2^n = 2^3 = 8 subsets possible. The collection of all subsets is known as a power set.
The subsets of {3, 4, 7} are {}, {3}, {4}, {7}, {3, 4}, {3, 7}, {4, 7}, {3, 4, 7}
Explanation:
When listing all the subsets of {3, 4, 7}, we include the empty set {}, as well as all the subsets that can be formed by selecting one or more elements from the original set. In this case, the subsets are:
{}{3}{4}{7}{3, 4}{3, 7}{4, 7}{3, 4, 7}Learn more about Mathematics here:https://brainly.com/question/26854035
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What is the equation for a line that passes through the points (-3,-3) and (6,21)?
Answers
[tex]\bf \cfrac{24}{9}\implies \cfrac{8}{3} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-3)=\cfrac{8}{3}[x-(-3)] \\\\\\ y+3=\cfrac{8}{3}(x+3)\implies y+3=\cfrac{8}{3}x+8\implies y=\cfrac{8}{3}x+5[/tex]
Select the statement that is true. Answer Choices The sum of 0.12x2+0.3⎯⎯⎯ and 1.5x2−0.75 is 1.62x2+0.416 . -0.45x2+0.9 subtracted from 2.5x2−7.32 is -2.95x2+8.22 . The difference of 18.94x−0.4⎯⎯⎯ and -10.2x+4.5 is 8.74x−4.94⎯⎯⎯ . The product of 0.6⎯⎯⎯x+3.4 and -6x+5.7 is -4x2−16.6x+19.38 .
Answers
1]
(0.12x^2+0.3)+(1.5x^2-0.75)
=(0.12x^2+1.5x^2)+(0.3+0.75)
=1.62x+1.05
2]
(2.5x^2-7.32)-(-0.45x^2+0.9)
(2.5x^2+0.45x^2)+(-7.32-0.9)
2.95x^2-8.22
3](18.94x-0.4)-(-10.2x+4.5)
=(18.94x+10.2x)+(-0.4-4.5)
=29.14x-4.9
4] (x+3.4)(-6x+5.7)
=x(-6x+5.7)+3.4(-6x+5.7)
=-6x^2+5.7x-20.4x+19.38
=-6x^2-14.7x+19.38
The perimeter of a rectangle is 30 centimeters. The width of the rectangle is 6 centimeters. How long is the rectangle?
Answers
Complete the solution of the equation. Find the value of Y when X equals 2. 2x - 2y = 22
Answers
substitute 2 as the value of x.
we get;
2*2 -22 = 2y
4 - 22 = -18 = 2y
y = -9
The value of Y when x = 2 is y = -9
In the data set below, what is the mean absolute deviation?4461526If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD):
Answers
If so, then the MAD is 1.43
To find the MAD, you first find the mean of the list. It is 4.
Then find the absolute difference of each number from the mean.
Those values are: 0,0,2,3,1,2,2
Now find the mean of those numbers and you have about: 1.43
Which of the following segments is a radius of O?
Please help
Answers
The segment that is a radius is
[tex]\bar{RO} [/tex]
EXPLANATION
A radius is any line segment from the center of a circle to the circumference.
From the above diagram, the center of the circle is O.
The points on the circumference are A, R S and T.
The only line from the circumference to the centre in the options above is the line segment RO.
The correct answer is B.
Note however that
[tex]\bar{AS}[/tex]
is a diameter, which is a special chord.
[tex]\bar{RA}[/tex]
is a chord.
[tex]
\bar{ST}[/tex]
is also a chord.
If prices increase at a monthly rate of 1.1%, by what percentage do they increase in a year, What is the annual inflation rate
Answers
P0=$1
A=P(1+r)^(td)
A=1(1+0.011)^12
A=1(1.011)^12
A=$1.1403
Yearly increase will therefore be 14.03%. Hence the inflation per year is 14.03%
Final answer:
To find the annual inflation rate when prices increase at a monthly rate of 1.1%, you use the formula for compounding interest, resulting in an approximate annual rate of 13.97%.
Explanation:
If prices increase at a monthly rate of 1.1%, to calculate the annual inflation rate, you should consider the compounding effect over the year. The general formula for finding the total percentage increase over multiple periods when compounded at each period is:
(1 + rate)^number of periods - 1.
In this case, the monthly rate is 1.1%, or 0.011 when expressed as a decimal. The number of periods (months) in a year is 12. Plugging these values into the formula gives:
(1 + 0.011)^12 - 1,
which calculates to:
1.011^12 - 1 = 0.1397 or 13.97%.
So, the annual inflation rate when prices increase at a monthly rate of 1.1% is approximately 13.97%.
A function has a domain of {1, 3, 5, 7} and a range of {2, 4, 6}. Which set of ordered pairs represents this function?
A.{(1, 2), (3, 4), (5, 6), (7, 2)}
B.{(1, 2), (3, 6), (5, 4), (5, 2)}
C.{(1, 2), (3, 2), (5, 2), (7, 2)}
D.{(1, 4), (3, 4), (5, 6), (7, 6)}
Answers
{1, 3, 5, 7}
We have the following range:
{2, 4, 6}
A value of the range belongs to each value of the domain.
Therefore, the ordered pairs are:
(1, 2)
(3. 4)
(5, 6)
Answer:
A. {(1, 2), (3, 4), (5, 6), (7, 2)}
Robin says that polynomials are closed under division. Brad adamantly disagrees. Who is correct? Justify your answer.
Answers
Polynomials do not include negative exponents; this means there can be no variables in the denominator. If two polynomials do not divide evenly, the remainder is written as a fraction with the divisor (which can include a variable) in the denominator. This is not a polynomial.
A professor wants to arrange his books on a shelf. he has 30 books and only space on the shelf for 20 of them. how many different 20-book arrangements can he make using the 30 books? this is an example of a problem that can be solved using which method?
Answers
The number of possible arrangements is
[tex]P\left(30,20\right)=\frac{30!}{\left(30-20\right)!\times 20!}=30,045,015[/tex]
There are 30,045,015 possible 20-book arrangements.
Answer: Total arrangement are 30045015
Given problem will be solved with help of combination.
Step-by-step explanation:
When we find the arrangement in which the order does not matter then we use combination,
Here, we have to find the possible arrangement in which order does not matter,
Thus, we will use combination to find the answer.
Here the total number of books = 30
A self contains, the number of book = 20,
Hence, the total arrangement of 20 books out of 30 books
[tex]=^{30}C_{20}[/tex]
[tex]=\frac{30!}{20!(30-20)!}[/tex]
[tex]=\frac{30\times 29\times 28\times 27\times 26\times 25\times 24\times 23\times 22\times 21}{10!}[/tex]
[tex]=\frac{4.9557887\times 10^{12} }{3628800 }=30045015 [/tex]
Which of the following have been used to measure wealth in early societies?
Cows
Dogs
Grain
Land
Metals
Answers
The answer is cows, metals, land, and grains.
answer these questions. Number 1 and number 2.
Answers
2) A cone, the top right one, is being formed by the rotation.
WHO LIKES PARABOLAS 3 MULTIPLE CHOICE
1. What is the vertex of the parabola? y−3=12(x+5)^2
2. The equation of a parabola is y=12x2+6x+23 .
What is the equation of the directrix?
y = 5.5
y = 4.5
y = 2
y = 0.5
3.The equation of a parabola is 132(y−2)2=x−1 .
What are the coordinates of the focus?
(−7, 2)
(1, 10)
(1, −6)
(9, 2)
Answers
[tex]y-3=12(x+5)^{2} \\ \\ y= 12(x+5)^{2}+3[/tex]
The vertex of the general parabolic equation:
[tex]y=a(x-h)^{2}+k [/tex]
lies at (h,k)
Comparing the given equation to general equation, we can write:
h = - 5
k = 3
So, the vertex of the given parabola will be (-5, 3)
Question 2) Equation of Directrix
The correct equation of the parabola is:
[tex]y= \frac{1}{2} x^{2} +6x+23 \\ \\ [/tex]
First we need to convert the equation to standard form as shown below:
[tex]y= \frac{1}{2}( x^{2} +12x)+23 \\ \\ y= \frac{1}{2}( x^{2} +12x+36)+23- \frac{1}{2}(36) \\ \\ y= \frac{1}{2}(x+6)^{2}+5 \\ \\ y-5= \frac{1}{2}(x+6)^{2} \\ \\ 2(y-5)=(x+6)^{2} \\ \\ 4( \frac{1}{2})(y-5)= (x+6)^{2}[/tex]
The directrix of the general parabola of the form:
[tex]4p(y-k)=(x-h)^{2} [/tex]
is y = k - p
Comparing equation of given parabola with general parabolic equation, we can write:
p =1/2
k = 5
So, equation of directirx will be:
y = 5 - 1/2 = 4.5
So, option B gives the correct answer.
Question 3) Focus of the parabola
The correct equation of the parabola is:
[tex] \frac{1}{32}(y-2)^{2}=x-1 \\ \\ (y-2)^{2}=32(x-1) \\ \\ (y-2)^{2}=4*8(x-1)[/tex]
Comparing this equation to the general parabolic equation, we can write:
p=8
h =1
k = 2
The focus of the parabola will be at (h+p,k) = (9,2)
So the focus of the parabola is at (9,2)
Thus, option D gives the correct answer.
Someone please help me?
Answers
AP = BP
3x-4 = 2x +12
subtract 2x from each side:
x-4 = 12
add 4 to each side:
x = 16
now we know x, replace x with 16 in the equation for AP:
AP = 3(16) -4
AP = 48 -4
AP = 44 meters
You are painting a ceiling in a room. The room measures 30 feet by 40 feet. One gallon of paint costs $25 and covers 200 square feet. How much will it cost to paint the ceiling?
A. $6
B. $17.50
C. $150
D. $1,200
Answers
the area of the room=30*40------> 1200 ft²
1 gallon of paint cover----------------> 200 ft²
x---------------------------> 1200 ft²
x=1200/200------> x=6 gallons
1 gallon cost------------> $25
6 gallons-----------> x
x=6*25-----> x=$150
the answer is
the option C. $150
Answer:
C. $150
Step-by-step explanation:
we know that
the area of the room=30*40------> 1200 ft²
1 gallon of paint cover----------------> 200 ft²
x---------------------------> 1200 ft²
x=1200/200------> x=6 gallons
1 gallon cost------------> $25
6 gallons-----------> x
x=6*25-----> x=$150
the answer is
the option C. $150
how do I solve this?
Answers
[2² * (√(3x⁵))² - 2² * (√y)²]
Now simplify. Placing a square root to the power of 2 just cancels each other out so you're left with:
[4(3x⁵) - 4y]
Simplify again for your answer:
12x⁵ - 4y
Due tomorrow. Please help!!!!
Answers
[tex]d=\dfrac{a_{17}-a_{7}}{17-7}=\dfrac{81-41}{17-7}=\dfrac{40}{10}=4[/tex]
The first term of the sequence can be found from either of the given terms.
[tex]a_{7}=41=a_{1}+(7-1)d=a_{1}+24\\a_{1}=41-24=17[/tex]
The sum of 40 terms is
[tex]S_{40}=\dfrac{40}{2}(a_{1}+a_{40})=20(17+(17+39\cdot 4)=20\cdot 190=3800[/tex]
The sum of the first 40 terms is 3800.
Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach
Answers
From the two statements we can create the following system of equations:
2a + 3p = 1.65
3a + 2p = 1.60
Since we want to know the cost of a peach, let's eliminate the "a" terms by creating opposites. The LCM for 2 and 3 is 6 so I will multiply the top equation by 3 and the bottom equation by -2. This will create opposites to cancel "a" terms.
3(2a + 3p = 1.65) → 6a + 9p = 4.95
-2(3a + 2p = 1.60) → -6a - 4p = -3.20
The result of adding → 5p = 1.75
The result of ÷ 5 → p = .35
This means one peach cost .35 or 35 cents
Number of apples = a
Number of peaches = p
Two apples and three peaches cost $1.65
⇒2a + 3p = 1.65
Three apples and two peaches cost $1.60
⇒3a + 2p = 1.60
System Equations :
[tex]\begin{cases}&2a + 3p = 1.65 ---- (1) \\&3a + 2p = 1.60 ---- (2)\end{cases}[/tex]
[tex]\begin{cases}&\text{Equation (1}) \times3: 6a + 9p = 4.95 ---- (1a) \\&\text{Equation (2}) \times2: 6a + 4p = 3.20 ---- (2a)\end{cases}[/tex]
Equation (1a) - (2a) :
[tex] \begin{aligned} &5p = 1.75 \\&p = 0.35&\end{aligned} [/tex]
Answer: $0.35
A barn is an atomic unit of area equal to 10–28 m2. what is the surface area of the earth expressed in units of barn? assume the earth is a sphere with a radius of km. (the surface area of a sphere is 4πr2.)
Answers
we know that
surface area of a sphere=4*pi*r²
for r=6380 km------->r=6380 x 10^3 m
surface area of of the earth=4*pi*(6380 x 10^3)²-----> 511506576035121,52 m²
if 1 barn is equal to-------------> 10^(-28) m²
x barn----------------------> 511506576035121,52 m²
x=511506576035121,5/(10^(-28))------> x=5.12 x 10^42 barn
the answer is5.12 x 10^42 barn
A translation is applied to the rectangle formed by the points A(−2, 6) , B(2, 6) , C(2, 4) , and D(−2, 4) . The image is the rectangle that has vertices A′(1, 6) , B′(5, 6) , C′(5, 4) and D′(1, 4) . Select the phrase from the drop-down menu to correctly describe the translation. The rectangle was translated .
Answers
You can just move one of the points to see how it moved.
Answer:
The answer is 3 units to the right.
Step-by-step explanation:
An acrobat was launched toward a water tank, with an upward velocity of 48 feet per second. The launch point was 32 feet below the water level in the tank. Use the quadratic equation 0 = -16t2 + 48t – 32 to find how much time, t, it took for her to reach the water level in the tank.
Answers
Answer:
1 or 2 seconds
Step-by-step explanation:
Math papa
Answer:
B. 1 or 2 seconds
Step-by-step explanation:
ttm
An item is priced at $13.04. If the sales tax is 5%, what does the item cost including sales tax? If necessary, round to the nearest cent.
A.
$13.56
B.
$13.24
C.
$12.39
D.
$13.69
Answers
13.04 * 0.05 = 0.652
When you round it to the nearest cent you get 69 cents
so the answer is D) 13.69
A school play cost $1,200 to produce. if tickets sold for $5 each, the profit, p, made on the play by selling x tickets is given by the equation shown. p=5x−1,200 what is the slope of the line representing this equation?
Answers
Slope is always the number attached to x.
The slope of the line representing this equation will be;
⇒ $5
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The tickets sold for $5 each, the profit, p, made on the play by selling x tickets is given by the equation shown,
⇒ p = 5x - 1,200
Now,
We know that;
The slope - intercept form of an equation is,
y = mx + c
Where, 'm' is slope of the line and 'c' is y - intercept.
Here, The equation is,
⇒ p = 5x - 1200
By comparing, we get;
⇒ Slope (m) = 5
Thus, The slope of the line representing this equation = 5
Learn more about the equation of line visit:
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Anyone know this geometry question? Will give brainiest
Answers
The population of a town increased from 5,400 to 6,000 people. What was the percent of the increase?
Answers
percentage increase = 600/5400 x 100 = 11.11%
Answer: 11.11%